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Finding the Third Proportional to 107,278 and 231,418

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Solution

The third proportional to 107,278 and 231,418 is: 499,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,278 : 231,418 = 231,418 : x
  2. Step 2: Convert to fraction form
    107,278/231,418 = 231,418/x
  3. Step 3: Cross multiply
    107,278x = 231,418 × 231,418
  4. Step 4: Simplify right side
    107,278x = 53,554,290,724
  5. Step 5: Solve for x
    x = 53,554,290,724/107,278
  6. Step 6: Final answer
    x = 499,210.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.